## If $$x$$ is a positive integer, what is the value of $$x?$$

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### If $$x$$ is a positive integer, what is the value of $$x?$$

by VJesus12 » Thu Sep 16, 2021 11:42 am

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If $$x$$ is a positive integer, what is the value of $$x?$$

(1) The first nonzero digit in the decimal expansion of $$\dfrac1{x!}$$ is in the hundredths place.
(2) The first nonzero digit in the decimal expansion of $$\dfrac1{(x+1)!}$$ is in the thousandths place.